Question

evaluate. write
$7^{-3} = \square$

Explanation:

Step1: Apply negative exponent rule

A negative exponent means the reciprocal of the positive exponent: $a^{-n} = \frac{1}{a^n}$
So, $7^{-3} = \frac{1}{7^3}$

Step2: Calculate positive exponent

Compute $7^3 = 7 \times 7 \times 7 = 343$
Thus, $\frac{1}{7^3} = \frac{1}{343}$

Answer:

$\frac{1}{343}$